52442726400 has 384 divisors, whose sum is σ = 192756784800. Its totient is φ = 13978828800.

The previous prime is 52442726363. The next prime is 52442726411. The reversal of 52442726400 is 462724425.

52442726400 is a `hidden beast` number, since 5 + 2 + 4 + 4 + 2 + 7 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22117215 + ... + 22119585.

Almost surely, 2^52442726400 is an apocalyptic number.

52442726400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52442726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96378392400).

52442726400 is an abundant number, since it is smaller than the sum of its proper divisors (140314058400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52442726400 is an equidigital number, since it uses as much as digits as its factorization.

52442726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 52442726400 in words is "fifty-two billion, four hundred forty-two million, seven hundred twenty-six thousand, four hundred".